{"paper":{"id":"site-3078","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","variant":null,"exam_pdf":null,"key_pdf":null,"question_count":4,"source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-3078/zad/3199","paper_id":"site-3078","number":"3199","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Rozwiąż równanie 2-3x / 1-2x = -1/2.","answer":null,"answer_text":null,"solution":null,"image":"img/site/3078/zad-3199.svg","solution_image":"img/site/3078/rozw-3199.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-3078/zad/3303","paper_id":"site-3078","number":"3303","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Funkcja f jest określona wzorem f(x) = 2x-b / x-9 dla x różnego od 9. Ponadto wiemy, że f(4)=-1. Oblicz współczynnik b.","answer":null,"answer_text":null,"solution":null,"image":"img/site/3078/zad-3303.svg","solution_image":"img/site/3078/rozw-3303.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-3078/zad/4308","paper_id":"site-3078","number":"4308","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Uzasadnij, że żadna liczba całkowita nie jest rozwiązaniem równania 2x+4/x-2 = 2x+1.","answer":null,"answer_text":null,"solution":null,"image":"img/site/3078/zad-4308.svg","solution_image":"img/site/3078/rozw-4308.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-3078/zad/5493","paper_id":"site-3078","number":"5493","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Rozwiązanie zadania. Rozwiąż równanie: 6x-1 / 3x-2 = 3x+2","answer":null,"answer_text":null,"solution":null,"image":"img/site/3078/zad-5493.svg","solution_image":"img/site/3078/rozw-5493.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}